I usually go away for 2-3 weeks at a time.
I water everything well about three days before the trip, allow the pots dry a bit for one day, and 1/2 days before the trip I put all the plants inside plastic bags of different sizes.
Some are individually bagged up and others are grouped inside large clear plastic trash bags.
For example, ones that had a history of rot or ones currently exhibiting fungal spots and such, or ones that are suspected of having any pests, or those extra tender ones will be bagged up individually.
Others that I really value for whatever reasons will also be bagged up on their own.
The rest are bagged up in small groups together.
So my livingroom before my trip and right after my return looks like a place with alien hatchery. lol
I make sure the plants are not in the way of direct sunlight (indoor grower here) and leave the AC set at low 70s if I'm travelling during the summer. Usually spring and fall, so I don't normally have to leave the AC on while I'm gone.
I have done this a few times and I can now travel without worrying about my plants getting desiccated.
Enjoy your family trip!